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On Asymptotic Standard Normality of the Two Sample Pivot
Rajeshwari Majumdar, Suman Majumdar
The asymptotic solution to the problem of comparing the means of two heteroscedastic populations, based on two random samples from the populations, hinges on the pivot underpinning…
On the Conditional Distribution of a Multivariate Normal given a Transformation - the Linear Case
Rajeshwari Majumdar, Suman Majumdar
We show that the orthogonal projection operator onto the range of the adjoint of a linear operator can be represented as where is an invertible linear operator. Using…
Necessary and Sufficient Condition for Asymptotic Standard Normality of the Two Sample Pivot
Rajeshwari Majumdar, Suman Majumdar
The asymptotic solution to the problem of comparing the means of two heteroscedastic populations, based on two random samples from the populations, hinges on the pivot underpinning…
On the regular conditional distribution of a multivariate Normal given a linear transformation
Rajeshwari Majumdar, Suman Majumdar
We show that the orthogonal projection operator onto the range of the adjoint of a linear operator T can be represented as UT, where U is an invertible linear operator. Using this…